Extensions 1→N→G→Q→1 with N=D₄ and Q=C₄

Direct product G=N×Q with N=D₄ and Q=C₄

		d	ρ	Label	ID
C₄×D₄		16		C4xD4	32,25

Semidirect products G=N:Q with N=D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₄ = D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄	16		D4:1C4	32,9
D₄⋊₂C₄ = C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄	8	2	D4:2C4	32,11

Non-split extensions G=N.Q with N=D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₄ = C₈○D₄	φ: trivial image	16	2	D4.C4	32,38

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Extensions 1→N→G→Q→1 with N=D4 and Q=C4